Given numbers are 328,312,342,408

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 328,312,342,408 is 12395448.

Find LCM of 328,312,342,408 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 41 x 13 x 57 x 17 = 12395448

Therefore, the lowest common multiple of 328,312,342,408 is 12395448.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

328 x 312 x 342 x 408 = 14279556096

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

328 : 1, 2, 4, 8, 41, 82, 164, 328

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,312,342,408, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

312:2x 2x 2x 3x 13

342:2x 3x 3x 19

408:2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14279556096/(2x576)

LCM = 14279556096/1152

LCM = 12395448

Thus, we can understand that the LCM of 328,312,342,408 is 12395448.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 709, 694, 635, 272
• LCM of 919, 810, 668, 870
• LCM of 489, 294, 439, 596
• LCM of 736, 355, 300, 906
• LCM of 779, 306, 670, 711

1. What is the LCM of 328, 312, 342, 408?

Answer: LCM of 328, 312, 342, 408 is 12395448.

2. How to calculate the LCM of 328, 312, 342, 408?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 328, 312, 342, 408.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.